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Multigrid Methods V pp 90–104Cite as

Accuracy and Convergence of Defect Correction in an Incompressible Multigrid Solver Based on Pressure Correction Smoothers

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Part of the book series: Lecture Notes in Computational Science and Engineering ((LNCSE,volume 3))

Abstract

We consider a multigrid method, that is based on SIMPLE-like pressure correction methods, for the solution of the incompressible Navier-Stokes equations. The main subject of the paper is a discussion of strategies to implement defect corrections for higher order discretisations of the advective term. We perform a systematic comparison of the convergence rate of the iterations for different combinations of defect correction strategy and flux-limited advection schemes. Based on established benchmark results we also assess the accuracy of the different advection schemes.

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Author information

Authors and Affiliations

  1. Christian Michelsen Research as, Fantoftveien 38, P.O. Box 6031, N-5020, Bergen, Norway

    Thor Gjesdal

Authors
  1. Thor Gjesdal
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Editor information

Editors and Affiliations

  1. Mathematisches Seminar, Universität Kiel, Ohlhausenstraße 40, D-24098, Kiel, Germany

    Wolfgang Hackbusch

  2. Technische Simulation iWR: Interdisziplinäres Zentrum für Wissenschaftliches Rechnen, Universität Heidelberg, Im Neuenheimer Feld 368, D-69120, Heidelberg, Germany

    Gabriel Wittum

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© 1998 Springer-Verlag Berlin Heidelberg

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Gjesdal, T. (1998). Accuracy and Convergence of Defect Correction in an Incompressible Multigrid Solver Based on Pressure Correction Smoothers. In: Hackbusch, W., Wittum, G. (eds) Multigrid Methods V. Lecture Notes in Computational Science and Engineering, vol 3. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-58734-4_5

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  • DOI: https://doi.org/10.1007/978-3-642-58734-4_5

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-63133-0

  • Online ISBN: 978-3-642-58734-4

  • eBook Packages: Springer Book Archive

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